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Finding the Third Proportional to 86,154 and 128,711

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Solution

The third proportional to 86,154 and 128,711 is: 192,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,154 : 128,711 = 128,711 : x
  2. Step 2: Convert to fraction form
    86,154/128,711 = 128,711/x
  3. Step 3: Cross multiply
    86,154x = 128,711 × 128,711
  4. Step 4: Simplify right side
    86,154x = 16,566,521,521
  5. Step 5: Solve for x
    x = 16,566,521,521/86,154
  6. Step 6: Final answer
    x = 192,289.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.